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Finding the Fourth Proportional to 471,401.02, 707,212.23 and 155,857.96

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Solution

The fourth proportional to 471,401.02, 707,212.23 and 155,857.96 is: 233,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,401.02 : 707,212.23 = 155,857.96 : x
  2. Step 2: Convert to fraction form
    471,401.02/707,212.23 = 155,857.96/x
  3. Step 3: Cross multiply
    471,401.02x = 707,212.23 × 155,857.96
  4. Step 4: Simplify right side
    471,401.02x = 110,224,655,454.85
  5. Step 5: Solve for x
    x = 110,224,655,454.85/471,401.02
  6. Step 6: Final answer
    x = 233,823.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.